Question

Pls help me with number

Answer 1

Answer:

Total people = 240

Step-by-step explanation:

Let the total number of people by 'x'.

$\sf \text{Number of men = \dfrac{1}{4}*x }$

$\sf \text{Number of women = \dfrac{1}{3}x }$

Number of children = 100

When we subtract the total number of men and women from the total people 'x', we get the number of children.

$\sf x - \left(\dfrac{1}{4}x+\dfrac{1}{3}x\right)= 100\\\\x - \left(\dfrac{1*3}{4*3}x+\dfrac{1*4}{3*4}x\right)=100$

      $x- \dfrac{4+3}{12}x=100\\\\x - \dfrac{7}{12}x = 100\\\\ \dfrac{12}{12}x-\dfrac{7}{12}x = 100\\\\ \dfrac{5}{12}x=100$

          $\sf x = 100*\dfrac{12}{5}$

          x = 20 * 12

          x = 240

            Total number of people = 240